With regards to wave functions

niggawut · Sep 30, 2011

If I draw a displacement-distance graph and a displacement-time for two wave forms, will both graphs look the same? With the exception of the x-axis label.

mitch_1211 · Oct 1, 2011

yes I'm fairly sure they will be identical. Are the waves of the form x = asin(omega*t) ?

Philip Wood · Oct 1, 2011

They will be the same provided that...
EITHER the waveform (shape of displacement against time graph) is sinusoidal,
OR, for any waveform, the wave propagates without dispersion, which means that the wave speed is independent of waveform, i.e. independent of frequency for a sinusoid.

With regards to wave functions

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